Question

# By walking at 34 th of his usual speed, a man reaches office 20 minutes later than usual. How much time does he usually take?

A

30 min

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B

60 min

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C

70 min

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D

50 min

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Solution

## The correct option is (B) 60 minLet the distance between the home and office be D, the usual velocity of the man is V, and the usual time be t.According to the question if the velocity becomes 3V4 then the time taken becomes (T+20)min.We can say that in both the cases the distance traveled will be equal So,3V4×(T+20)=V×T After solving the above equation We get,T = 60 min.Hence the usual time taken by the man is 60 min.

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